Economic characterization of reciprocal isoperimetric control problems

DOI10.1023/A:1022685417012zbMath0922.49008OpenAlexW147890682MaRDI QIDQ1265057

Michael R. Caputo

Publication date: 21 September 1999

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1022685417012

zbMATH Keywords

comparative dynamicsoptimal value functionseconomic interpretationsresource economicsisoperimetric control problemsoptimal solution functions

Mathematics Subject Classification ID

Economic growth models (91B62) Environmental economics (natural resource models, harvesting, pollution, etc.) (91B76) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (5)

Reciprocal optimal control problems and the associated Pareto frontier ⋮ Lagrange-Hamilton approach in optimization problems with isoperimetric-type constraints ⋮ A unified view of ostensibly disparate isoperimetric variational problems ⋮ On well-posed isoperimetric-type constrained variational control problems ⋮ Economic characterization of reciprocal isoperimetric control problems revisited

Cites Work

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• Conditions implying the vanishing of the Hamiltonian at infinity in optimal control problems
• How to do comparative dynamics on the back of an envelope in optimal control theory
• The envelope theorem in dynamic optimization
• The Slutsky matrix and homogeneity in intertemporal consumer theory
• The Jacobian matrix and global univalence of mappings
• On existence of optimal controls
• New Qualitative Properties in the Competitive Nonrenewable Resource Extracting Model of the Firm

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